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Вигнеровское представление квантовой механики


СОДЕРЖАНИЕ
1. Введение
2. Определение совместной квазивероятности координаты и импульса
3. Некоторые свойства квазивероятности
а) Согласованность с одномерными распределениями. б) Вычисление высших моментов. в) Ограничение на допустимый класс квантовомеханических распределений для чистых состояний.
4. Эволюционное уравнение для квазивероятности (квантовое уравнение Лиувилля) и некоторые его следствия
а) Вывод эволюционного уравнения. б) Классический предел. в) Наличие посторонних решений и их фильтрация. г) Об эквивалентности вигнеровского и шрëдингеровского представлений квантовой механики.
5. Об условиях неотрицательности квазивероятности и сглаженной квазивероятности
6. Основные выводы
Цитированная литература

Текст pdf (2,2 Мб)
English fulltext is available at DOI: 10.1070/PU1983v026n04ABEH004345
PACS: 03.65.Db
DOI: 10.3367/UFNr.0139.198304b.0587
URL: https://ufn.ru/ru/articles/1983/4/b/
Цитата: Татарский В И "Вигнеровское представление квантовой механики" УФН 139 587–619 (1983)
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English citation: Tatarskii V I “The Wigner representation of quantum mechanics” Sov. Phys. Usp. 26 311–327 (1983); DOI: 10.1070/PU1983v026n04ABEH004345

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